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Finding the Third Proportional to 8,001.28 and 11,796.47

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Solution

The third proportional to 8,001.28 and 11,796.47 is: 17,391.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.28 : 11,796.47 = 11,796.47 : x
  2. Step 2: Convert to fraction form
    8,001.28/11,796.47 = 11,796.47/x
  3. Step 3: Cross multiply
    8,001.28x = 11,796.47 × 11,796.47
  4. Step 4: Simplify right side
    8,001.28x = 139,156,674.97
  5. Step 5: Solve for x
    x = 139,156,674.97/8,001.28
  6. Step 6: Final answer
    x = 17,391.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.